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Finding the Fourth Proportional to 7,614.80, 10,508.94 and 4,257.54

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Solution

The fourth proportional to 7,614.80, 10,508.94 and 4,257.54 is: 5,875.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.80 : 10,508.94 = 4,257.54 : x
  2. Step 2: Convert to fraction form
    7,614.80/10,508.94 = 4,257.54/x
  3. Step 3: Cross multiply
    7,614.80x = 10,508.94 × 4,257.54
  4. Step 4: Simplify right side
    7,614.80x = 44,742,232.41
  5. Step 5: Solve for x
    x = 44,742,232.41/7,614.80
  6. Step 6: Final answer
    x = 5,875.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.